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Finding the Third Proportional to 5,460,512 and 11,849,226

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Solution

The third proportional to 5,460,512 and 11,849,226 is: 25,712,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460,512 : 11,849,226 = 11,849,226 : x
  2. Step 2: Convert to fraction form
    5,460,512/11,849,226 = 11,849,226/x
  3. Step 3: Cross multiply
    5,460,512x = 11,849,226 × 11,849,226
  4. Step 4: Simplify right side
    5,460,512x = 140,404,156,799,076
  5. Step 5: Solve for x
    x = 140,404,156,799,076/5,460,512
  6. Step 6: Final answer
    x = 25,712,635.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.